This applet shows a dynamic geometric proof of the formula for the sum of the cubes of the first n natural numbers.[br][list][br][*]Drag the slider “NumberCubes” to create up to seven cubes.[br][/list][br]Think of each cube as a collection of [b]n[/b] [b]n[/b]x[b]n[/b] square layers of unit cubes. To find a formula for the sum of the cubes of the first natural numbers we will rearrange the square layers.[br][list][br][*]Drag the slider “Rearrange” or press the “animate” button.[br][br][/list]